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Math Question

\( \triangle R S T \sim \triangle U V W \). The dilation that maps \( \triangle R S T \) to \( \triangle U V W \) has a dilation factor of \( \frac{2}{3} \).
The measure of angle \( R \) is \( 20^{\circ} \), and the measure of angle \( S \) is \( 100^{\circ} \).
What is the measure, in degrees, of angle \( W ? \)
Enter your answer in the space provided.

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